33809916 has 48 divisors (see below), whose sum is σ = 91445760. Its totient is φ = 9522240.

The previous prime is 33809903. The next prime is 33809929. The reversal of 33809916 is 61990833.

It is an interprime number because it is at equal distance from previous prime (33809903) and next prime (33809929).

It is a super-2 number, since 2×33809916² = 2286220839854112, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3130 + ... + 8798.

It is an arithmetic number, because the mean of its divisors is an integer number (1905120).

Almost surely, 2^33809916 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33809916, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45722880).

33809916 is an abundant number, since it is smaller than the sum of its proper divisors (57635844).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

33809916 is a wasteful number, since it uses less digits than its factorization.

33809916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5754 (or 5752 counting only the distinct ones).

The product of its (nonzero) digits is 34992, while the sum is 39.

The square root of 33809916 is about 5814.6294808870. The cubic root of 33809916 is about 323.3563276475.

The spelling of 33809916 in words is "thirty-three million, eight hundred nine thousand, nine hundred sixteen".